KJs vs 44: preflop equity

Before any board card is dealt, KJs holds 50.33% equity against 44, which leaves 44 with 49.67%.

KJs

50.33%

Wins 50.00%, ties 0.66%

44

49.67%

Wins 49.34%, ties 0.66%

Equity counts a tie as half a win. Exact over every board.

KJs against 44: the numbers

Exact preflop results for KJs against 44, in percent
HandWinsTiesLosesEquity
KJs50.0010.66249.33750.332
4449.3370.66250.00149.668

The matchup pits a suited hand against a pocket pair. This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.

That is a slim edge: neither hand is far ahead. Of every 100 boards, about 0.66 are split pots, and the equity figures already include them.

Among the 169 starting hands, KJs is number 20 and 44 is number 48 by strength against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KJs20,548,000272,00020,275,000
4420,275,000272,00020,548,000

Exact total: 24 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.

KJs against 44 read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KJs1.0132.0002.0270.987
440.9872.0272.0001.013

The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.

Who is ahead on which flops

KJs prefers rainbow flops topped by a ten or better, where it holds 56.36%, and likes low rainbow flops (nine high or lower) least, where it holds 23.27%. 44 is ahead on low rainbow flops (nine high or lower) and paired flops, even though it trails KJs when every flop is counted.

KJs against 44 by flop texture, in percent
FlopShare of flopsKJs winsTies44 winsKJs equity
Rainbow, ten or higher24.59556.2140.28443.50256.356
Rainbow, nine or lower6.31422.8010.94176.25823.271
Two-tone46.54551.4760.39048.13451.671
Monotone5.21248.7732.87648.35150.211
Paired17.33447.5011.16251.33748.082

Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.

Compared with a random hand

The table below sets each hand against its own random-hand baseline: a change of -12.24 points for KJs, from 62.57%, and -7.35 for 44, from 57.02%.

KJs and 44 here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KJs, all flops50.33262.567-12.2350.80445
KJs, rainbow, ten or higher56.35662.567-6.2110.90073
KJs, rainbow, nine or lower23.27162.567-39.2960.37194
KJs, two-tone51.67162.567-10.8960.82585
KJs, monotone50.21162.567-12.3560.80252
KJs, paired48.08262.567-14.4850.76849
44, all flops49.66857.023-7.3550.87102
44, rainbow, ten or higher43.64457.023-13.3790.76538
44, rainbow, nine or lower76.72957.023+19.7061.34558
44, two-tone48.32957.023-8.6940.84754
44, monotone49.78957.023-7.2340.87314
44, paired51.91857.023-5.1050.91047

Does a shared suit matter?

When the hands share a suit, KJs holds 50.16%; when they do not, it holds 50.50%. KJs does better with no shared suit, by 0.34 points.

KJs against 44 by suit overlap, in percent
DealsSpecific dealsShare of dealsKJs winsTies44 winsKJs equity
Share a suit1250.0049.8110.70049.48950.161
No shared suit1250.0050.1920.62449.18450.504

How often this matchup comes up

You will meet this exact matchup 0.0030% of the time in a random heads-up deal: 48 of 1,624,350, counting either seat order.

A worked example

With $100 from each side, the $200 pot is split on average as $100.66 for KJs and $99.34 for 44; the first side gains $0.66 per all-in and the second gives up $0.66.

Scaled to 1,000 deals, that is roughly 500 wins for KJs, 493 for 44 and 7 chopped pots.

The same matchup from the other side

Swap the hands and you get 44 with 49.67% against KJs with 50.33%. We keep one page per matchup, with the better-ranked hand first.

The calculator link fills in KsJs against 4h4d, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.

How this was computed

This is an exact count with no sampling. For the 24 ways to deal one KJs and one 44 without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.

Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.

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